Math

A gear ratio  is the ratio of the number of teeth of two connected gears. The ratio of the number of revolutions per minute (rpm) of two gear wheels is . In the diagram below, Gear A is turned by a motor. The turning of Gear A causes Gears B and C to turn as well.

If Gear A is rotated by the motor at a rate of 100 rpm, what is the number of revolutions per minute for Gear C?